Sports news on local TV broadcasts. The Sports Journal

Chapter 11, Problem 102SE

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QUESTION:

Sports news on local TV broadcasts. The Sports Journal (Winter 2004) published the results of a study conducted to assess the factors that impact the time allotted to sports news on local television news broadcasts. Information on total time (in minutes) allotted to sports and audience ratings of the TV news broadcast (measured on a 100-point scale) was obtained from a national sample of 163 news directors. A correlation analysis on the data yielded r = .43.

a. Interpret the value of the correlation coefficient, r.

b. Find and interpret the value of the coefficient of determination, \(r^2\).

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QUESTION:

Sports news on local TV broadcasts. The Sports Journal (Winter 2004) published the results of a study conducted to assess the factors that impact the time allotted to sports news on local television news broadcasts. Information on total time (in minutes) allotted to sports and audience ratings of the TV news broadcast (measured on a 100-point scale) was obtained from a national sample of 163 news directors. A correlation analysis on the data yielded r = .43.

a. Interpret the value of the correlation coefficient, r.

b. Find and interpret the value of the coefficient of determination, \(r^2\).

ANSWER:

Step 1 of 2

a)

Interpretation of the value of r:

Let the response variable (y) be the audience rating and the predictor variable (x) be the total time allotted to sports.

The correlation between the variables is obtained as.

It implies that there is a weak positive linear correlation between the audience rating and the total time allotted to sports, since the value of r is far away

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